7985648 has 60 divisors (see below), whose sum is σ = 18044232. Its totient is φ = 3394560.

The previous prime is 7985647. The next prime is 7985657. The reversal of 7985648 is 8465897.

Its product of digits (483840) is a multiple of the sum of its prime factors (210).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7985641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50786 + ... + 50942.

Almost surely, 2^7985648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7985648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9022116).

7985648 is an abundant number, since it is smaller than the sum of its proper divisors (10058584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7985648 is a wasteful number, since it uses less digits than its factorization.

7985648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 187 counting only the distinct ones).

The product of its digits is 483840, while the sum is 47.

The square root of 7985648 is about 2825.8888867045. Note that the first 5 decimals coincide. The cubic root of 7985648 is about 199.8803284078.

Subtracting 7985648 from its reverse (8465897), we obtain a square (480249 = 693²).

It can be divided in two parts, 798 and 5648, that added together give a palindrome (6446).

The spelling of 7985648 in words is "seven million, nine hundred eighty-five thousand, six hundred forty-eight".